Answer:
x = 13
Step-by-step explanation:
Given that Δ NML and Δ PST are similar right triangles, we can set up the following proportional statement to establish their relationship:


Cross multiply:
8(x + 2) = 10 (x - 1)
8x + 16 = 10x - 10
Subtract 8x from both sides:
8x - 8x + 16 = 10x - 8x - 10
16 = 2x - 10
Add 10 to both sides:
16 + 10 = 2x - 10 + 10
26 = 2x
Divide both sides by 2:

13 = x
Verify whether x = 13 is the correct value:




This shows the proportional relationship between
, and that ΔNML and ΔPST are indeed similar right triangles.
Therefore, the correct answer is x = 13.
Answer:
<u>The correct answer is B. 25%</u>
Step-by-step explanation:
If Tina's probability of winning a tennis game is 75%, therefore:
(100% - 75%) = Probability that Tina will lose a game
25% = Probability that Tina will lose a game
<u>The correct answer is B. 25%</u>
Pretty sure it’s 4 idk tho this is a tough one. Hahahaha
Answer:
4.1 sec
Step-by-step explanation:
h(t)=-3.2t^2+12.8t+1
h(t)=-3.2(t^2-4t)+1
h(t)=-3.2(t^2-4t+4-4)+1
h(t)=13.8-3.2(t-2)^2
For the ball to touch ground, h(t)=0.
13.8-3.2(t-2)^2=0
(t-2)=2.0766
t=4.07≈4.1 sec.